近似弧长参数化曲线在CAD和几何造型系统中有着重要的应用。
Nearly Arc Length parameterization curve palyes an important role in CAD and geometric modeling.
洗面器参数化CAD模块提供了一系列的对话框和各部件的参数化曲线。
The washing basin parametric CAD module provides a series of dialogs and parametric part shape curves.
利用该方法求得的最优参数化在曲线的重新参数化曲线族中，参数速度偏离单位速度的最大值达到最小。
The advantage of this measure is that the optimum rational reparameterization's parametric speed satisfies that the maximum deviation from unity is the minimum in this family.
所作近似弧长参数化曲线在插值节点处，近似弧长是精确的，并且具有与精确弧长参数曲线同方向的单位切矢。
At any knots, the nearly arc length are precise for the resulting nearly arc length parametric curve, and it has the unit tangent same as that of the real arc length parametric curve.
树木建模采用分形理论的迭代函数系统来完成，建模时着重实现了以参数化曲线拟合的方法来模拟枝条的自然弯曲状态。
Tree modeling USES the iterated function system based on fractal theory. The parameterized curve is used to simulate the bending state of tree branches.
如果无法对曲线参数化，那么就很难计算线积分了。
If you cannot parameterize the curve then it is really, really hard to evaluate the line integral.
直接计算，我们需要先把曲线参数化。
Well, to do it directly you would have to parameterize this curve.
计算它的方式是找到Mdx和Ndy的表达式,然后把曲线参数化。
OK, so the way we compute it is we take this expression Mdx Ndy and we parameterize the curve.
怎样参数化空间上的椭圆曲线呢？
这和平常的方法是一样的，如果给出，一条曲线的几何描述，就不得不自己判断，什么才是最好的参数化方法。
It is the same method as usual. And if you are being given a geometric description of a curve then, of course, you will have to decide for yourself what the best parameter will be.
给定一个空间里的椭圆曲线，一个来参数化这曲线的有趣示例是,表示为圆柱体与斜面的相交部分。
Say that I give you an ellipse in space as maybe the more, well, one exciting way to parameterize an ellipse in space is maybe the intersection of a cylinder with a slanted plane.
系统主要由读取数据文件模块、NURBS曲线生成模块、曲面构造模块、参数化修改模块、数据转换模块以及用户界面组成。
The system is mainly composed of file module of reading data, creation module of NURBS curve, surface construction module, parameterization modifying module, data conversion module and user interface.
讨论参数曲线近似弧长参数化的数值方法。
In this paper, a numerical method is presented for nearly arc length parameterization of parametric curve.
鉴于此，必须采用正则化方法，本文中选用的是截断奇异值分解，其正则化参数用l -曲线准则来确定。
In this thesis, we choose truncated singular value decomposition to solve the resulting matrix equations, while the regularization parameter of TSVD is determined by the L-curve criterion.
结果表明，该方法不仅具有较高的插值精度，而且通用性强，可适用于平面和空间曲线的参数化插值。
The computation results show that the presented interpolation approach has better precision and versatility. And it can be used in parametric interpolation both for planar and spacial curves.
本文指出线性化后的曲线拟合参数不是无偏估计量。
This paper points out that the linearized curve-fitting parameters are not unbiased estimations.
这种方法有很多的用途，可以用于工业造型设计，也可以用于曲线的参数化变形。
The method has many USES, such as the design of industry shaping and the parametric deform of spline-curve.
借鉴拉塞尔的续流分析方法，将焖井恢复压力曲线线性化并计算出流变参数；
Using Lasels analysis method of afterflow for reference, pressure build up curve of shut in well is linearized and rheological parameter is calculated.
参数曲线的保形性与生成它的基函数的规范化全正性有关。
Shape preservation of parametric curves is associated with normalized total positivity of its basis functions.
给出了多项式参数方程定义的参数曲线的有效隐式化算法，此算法主要是基于矩阵理论。
This paper presents an efficient algorithm for the implicitization of parametric curves defined by polynomial parametric equations, which is mainly based on the theory of matrices.
正则性是参数曲线曲面的重要代数性质，是由参数曲线曲面的参数化决定的。
Regularity is an important algebraic property of parametric curve and surface, which depends on the parameterization of parametric curve and surface.
文中根据曲线曲面型值点，分别用四种参数化方法构造节点矢量，利用NURBS方法反算控制点。
In this paper, the control points are calculated based on the curve or surface's data points and the knot vector which is calculated with four kinds of parameterization by the method of NURBS.
曲线重新参数化的关键是重新参数化方法。
The key problem of re-parameterization of curves is the re-parameterization method.
基于光顺曲线的参数化设计，提出了参数化的船型设计方法。
Based on the parametric design of fair curve, the parametric design method of hull form is presented in the paper.
本文提出了参数曲线近似弧长参数化的一种插值方法。
This paper presents an interpolation methods for nearly arc length parameterization of parametric curves.
提出了一种利用标准化死区时间整定PID参数的新方法，并利用曲线拟合最小二乘法求得控制器的整定公式。
A new method tuning the PID parameters is presented by the normalized dead time of process. The tuning formulae are obtained from the curve fitting in the least-squares sense.
通过二次开发AUTOCAD参数化设计马鞍型焊缝曲线工件的三维模型。
The mathematic model of seam is built up based on the re-exploit of AUTOCAD.
由于采用归一化参数，建议计算曲线适用于任何类型的参数优化控制器的永磁操动机构的操作。
As the normalized parameters are adopted, the proposed calculating curves are applicable to the parameter optimization for any kind of operation controller of permanent magnetic actuator.
本文根据夹层地质特点和曲线响应，对测井曲线进行了优化选择和标准化校正，在此基础上提出了一种合理的夹层参数测井解释方法。
This paper describes that well logging curves are carried out optimization and normalization correction according to the geologic characteristics of the interbedded strata and logging response.
在两步计算中，均采用L曲线法来确定正则化参数α。
This paper utilizes L-curve method to determine the regularization parameter in the (above) two computation steps.
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